484 lines
17 KiB
FortranFixed
484 lines
17 KiB
FortranFixed
SUBROUTINE CCHKTR( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL,
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$ THRESH, TSTERR, NMAX, A, AINV, B, X, XACT,
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$ WORK, RWORK, NOUT )
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*
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* -- LAPACK test routine (version 3.1) --
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* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
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* November 2006
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*
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* .. Scalar Arguments ..
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LOGICAL TSTERR
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INTEGER NMAX, NN, NNB, NNS, NOUT
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REAL THRESH
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* ..
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* .. Array Arguments ..
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LOGICAL DOTYPE( * )
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INTEGER NBVAL( * ), NSVAL( * ), NVAL( * )
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REAL RWORK( * )
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COMPLEX A( * ), AINV( * ), B( * ), WORK( * ), X( * ),
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$ XACT( * )
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* ..
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*
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* Purpose
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* =======
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*
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* CCHKTR tests CTRTRI, -TRS, -RFS, and -CON, and CLATRS
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*
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* Arguments
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* =========
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*
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* DOTYPE (input) LOGICAL array, dimension (NTYPES)
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* The matrix types to be used for testing. Matrices of type j
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* (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
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* .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
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*
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* NN (input) INTEGER
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* The number of values of N contained in the vector NVAL.
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*
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* NVAL (input) INTEGER array, dimension (NN)
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* The values of the matrix column dimension N.
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*
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* NNB (input) INTEGER
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* The number of values of NB contained in the vector NBVAL.
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*
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* NBVAL (input) INTEGER array, dimension (NNB)
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* The values of the blocksize NB.
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*
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* NNS (input) INTEGER
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* The number of values of NRHS contained in the vector NSVAL.
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*
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* NSVAL (input) INTEGER array, dimension (NNS)
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* The values of the number of right hand sides NRHS.
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*
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* THRESH (input) REAL
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* The threshold value for the test ratios. A result is
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* included in the output file if RESULT >= THRESH. To have
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* every test ratio printed, use THRESH = 0.
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*
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* TSTERR (input) LOGICAL
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* Flag that indicates whether error exits are to be tested.
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*
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* NMAX (input) INTEGER
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* The leading dimension of the work arrays.
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* NMAX >= the maximum value of N in NVAL.
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*
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* A (workspace) COMPLEX array, dimension (NMAX*NMAX)
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*
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* AINV (workspace) COMPLEX array, dimension (NMAX*NMAX)
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*
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* B (workspace) COMPLEX array, dimension (NMAX*NSMAX)
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* where NSMAX is the largest entry in NSVAL.
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*
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* X (workspace) COMPLEX array, dimension (NMAX*NSMAX)
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*
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* XACT (workspace) COMPLEX array, dimension (NMAX*NSMAX)
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*
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* WORK (workspace) COMPLEX array, dimension
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* (NMAX*max(3,NSMAX))
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*
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* RWORK (workspace) REAL array, dimension
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* (max(NMAX,2*NSMAX))
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*
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* NOUT (input) INTEGER
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* The unit number for output.
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*
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* =====================================================================
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*
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* .. Parameters ..
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INTEGER NTYPE1, NTYPES
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PARAMETER ( NTYPE1 = 10, NTYPES = 18 )
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INTEGER NTESTS
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PARAMETER ( NTESTS = 9 )
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INTEGER NTRAN
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PARAMETER ( NTRAN = 3 )
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REAL ONE, ZERO
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PARAMETER ( ONE = 1.0E0, ZERO = 0.0E0 )
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* ..
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* .. Local Scalars ..
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CHARACTER DIAG, NORM, TRANS, UPLO, XTYPE
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CHARACTER*3 PATH
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INTEGER I, IDIAG, IMAT, IN, INB, INFO, IRHS, ITRAN,
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$ IUPLO, K, LDA, N, NB, NERRS, NFAIL, NRHS, NRUN
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REAL AINVNM, ANORM, DUMMY, RCOND, RCONDC, RCONDI,
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$ RCONDO, SCALE
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* ..
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* .. Local Arrays ..
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CHARACTER TRANSS( NTRAN ), UPLOS( 2 )
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INTEGER ISEED( 4 ), ISEEDY( 4 )
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REAL RESULT( NTESTS )
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* ..
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* .. External Functions ..
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LOGICAL LSAME
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REAL CLANTR
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EXTERNAL LSAME, CLANTR
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* ..
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* .. External Subroutines ..
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EXTERNAL ALAERH, ALAHD, ALASUM, CCOPY, CERRTR, CGET04,
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$ CLACPY, CLARHS, CLATRS, CLATTR, CTRCON, CTRRFS,
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$ CTRT01, CTRT02, CTRT03, CTRT05, CTRT06, CTRTRI,
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$ CTRTRS, XLAENV
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* ..
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* .. Scalars in Common ..
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LOGICAL LERR, OK
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CHARACTER(32) SRNAMT
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INTEGER INFOT, IOUNIT
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* ..
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* .. Common blocks ..
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COMMON / INFOC / INFOT, IOUNIT, OK, LERR
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COMMON / SRNAMC / SRNAMT
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC MAX
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* ..
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* .. Data statements ..
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DATA ISEEDY / 1988, 1989, 1990, 1991 /
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DATA UPLOS / 'U', 'L' / , TRANSS / 'N', 'T', 'C' /
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* ..
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* .. Executable Statements ..
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*
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* Initialize constants and the random number seed.
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*
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PATH( 1: 1 ) = 'Complex precision'
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PATH( 2: 3 ) = 'TR'
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NRUN = 0
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NFAIL = 0
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NERRS = 0
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DO 10 I = 1, 4
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ISEED( I ) = ISEEDY( I )
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10 CONTINUE
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*
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* Test the error exits
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*
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IF( TSTERR )
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$ CALL CERRTR( PATH, NOUT )
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INFOT = 0
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*
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DO 120 IN = 1, NN
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*
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* Do for each value of N in NVAL
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*
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N = NVAL( IN )
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LDA = MAX( 1, N )
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XTYPE = 'N'
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*
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DO 80 IMAT = 1, NTYPE1
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*
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* Do the tests only if DOTYPE( IMAT ) is true.
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*
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IF( .NOT.DOTYPE( IMAT ) )
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$ GO TO 80
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*
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DO 70 IUPLO = 1, 2
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*
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* Do first for UPLO = 'U', then for UPLO = 'L'
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*
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UPLO = UPLOS( IUPLO )
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*
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* Call CLATTR to generate a triangular test matrix.
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*
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SRNAMT = 'CLATTR'
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CALL CLATTR( IMAT, UPLO, 'No transpose', DIAG, ISEED, N,
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$ A, LDA, X, WORK, RWORK, INFO )
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*
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* Set IDIAG = 1 for non-unit matrices, 2 for unit.
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*
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IF( LSAME( DIAG, 'N' ) ) THEN
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IDIAG = 1
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ELSE
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IDIAG = 2
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END IF
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*
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DO 60 INB = 1, NNB
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*
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* Do for each blocksize in NBVAL
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*
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NB = NBVAL( INB )
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CALL XLAENV( 1, NB )
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*
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*+ TEST 1
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* Form the inverse of A.
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*
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CALL CLACPY( UPLO, N, N, A, LDA, AINV, LDA )
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SRNAMT = 'CTRTRI'
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CALL CTRTRI( UPLO, DIAG, N, AINV, LDA, INFO )
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*
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* Check error code from CTRTRI.
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*
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IF( INFO.NE.0 )
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$ CALL ALAERH( PATH, 'CTRTRI', INFO, 0, UPLO // DIAG,
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$ N, N, -1, -1, NB, IMAT, NFAIL, NERRS,
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$ NOUT )
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*
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* Compute the infinity-norm condition number of A.
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*
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ANORM = CLANTR( 'I', UPLO, DIAG, N, N, A, LDA, RWORK )
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AINVNM = CLANTR( 'I', UPLO, DIAG, N, N, AINV, LDA,
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$ RWORK )
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IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
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RCONDI = ONE
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ELSE
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RCONDI = ( ONE / ANORM ) / AINVNM
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END IF
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*
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* Compute the residual for the triangular matrix times
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* its inverse. Also compute the 1-norm condition number
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* of A.
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*
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CALL CTRT01( UPLO, DIAG, N, A, LDA, AINV, LDA, RCONDO,
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$ RWORK, RESULT( 1 ) )
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* Print the test ratio if it is .GE. THRESH.
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*
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IF( RESULT( 1 ).GE.THRESH ) THEN
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
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$ CALL ALAHD( NOUT, PATH )
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WRITE( NOUT, FMT = 9999 )UPLO, DIAG, N, NB, IMAT,
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$ 1, RESULT( 1 )
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NFAIL = NFAIL + 1
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END IF
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NRUN = NRUN + 1
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*
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* Skip remaining tests if not the first block size.
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*
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IF( INB.NE.1 )
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$ GO TO 60
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*
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DO 40 IRHS = 1, NNS
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NRHS = NSVAL( IRHS )
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XTYPE = 'N'
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*
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DO 30 ITRAN = 1, NTRAN
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*
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* Do for op(A) = A, A**T, or A**H.
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*
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TRANS = TRANSS( ITRAN )
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IF( ITRAN.EQ.1 ) THEN
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NORM = 'O'
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RCONDC = RCONDO
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ELSE
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NORM = 'I'
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RCONDC = RCONDI
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END IF
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*
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*+ TEST 2
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* Solve and compute residual for op(A)*x = b.
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*
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SRNAMT = 'CLARHS'
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CALL CLARHS( PATH, XTYPE, UPLO, TRANS, N, N, 0,
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$ IDIAG, NRHS, A, LDA, XACT, LDA, B,
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$ LDA, ISEED, INFO )
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XTYPE = 'C'
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CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
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*
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SRNAMT = 'CTRTRS'
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CALL CTRTRS( UPLO, TRANS, DIAG, N, NRHS, A, LDA,
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$ X, LDA, INFO )
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*
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* Check error code from CTRTRS.
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*
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IF( INFO.NE.0 )
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$ CALL ALAERH( PATH, 'CTRTRS', INFO, 0,
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$ UPLO // TRANS // DIAG, N, N, -1,
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$ -1, NRHS, IMAT, NFAIL, NERRS,
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$ NOUT )
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*
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* This line is needed on a Sun SPARCstation.
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*
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IF( N.GT.0 )
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$ DUMMY = A( 1 )
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*
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CALL CTRT02( UPLO, TRANS, DIAG, N, NRHS, A, LDA,
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$ X, LDA, B, LDA, WORK, RWORK,
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$ RESULT( 2 ) )
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*
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*+ TEST 3
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* Check solution from generated exact solution.
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*
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CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
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$ RESULT( 3 ) )
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*
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*+ TESTS 4, 5, and 6
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* Use iterative refinement to improve the solution
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* and compute error bounds.
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*
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SRNAMT = 'CTRRFS'
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CALL CTRRFS( UPLO, TRANS, DIAG, N, NRHS, A, LDA,
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$ B, LDA, X, LDA, RWORK,
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$ RWORK( NRHS+1 ), WORK,
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$ RWORK( 2*NRHS+1 ), INFO )
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*
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* Check error code from CTRRFS.
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*
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IF( INFO.NE.0 )
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$ CALL ALAERH( PATH, 'CTRRFS', INFO, 0,
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$ UPLO // TRANS // DIAG, N, N, -1,
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$ -1, NRHS, IMAT, NFAIL, NERRS,
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$ NOUT )
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*
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CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
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$ RESULT( 4 ) )
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CALL CTRT05( UPLO, TRANS, DIAG, N, NRHS, A, LDA,
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$ B, LDA, X, LDA, XACT, LDA, RWORK,
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$ RWORK( NRHS+1 ), RESULT( 5 ) )
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*
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* Print information about the tests that did not
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* pass the threshold.
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*
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DO 20 K = 2, 6
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IF( RESULT( K ).GE.THRESH ) THEN
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
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$ CALL ALAHD( NOUT, PATH )
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WRITE( NOUT, FMT = 9998 )UPLO, TRANS,
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$ DIAG, N, NRHS, IMAT, K, RESULT( K )
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NFAIL = NFAIL + 1
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END IF
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20 CONTINUE
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NRUN = NRUN + 5
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30 CONTINUE
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40 CONTINUE
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*
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*+ TEST 7
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* Get an estimate of RCOND = 1/CNDNUM.
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*
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DO 50 ITRAN = 1, 2
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IF( ITRAN.EQ.1 ) THEN
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NORM = 'O'
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RCONDC = RCONDO
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ELSE
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NORM = 'I'
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RCONDC = RCONDI
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END IF
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SRNAMT = 'CTRCON'
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CALL CTRCON( NORM, UPLO, DIAG, N, A, LDA, RCOND,
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$ WORK, RWORK, INFO )
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*
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* Check error code from CTRCON.
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*
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IF( INFO.NE.0 )
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$ CALL ALAERH( PATH, 'CTRCON', INFO, 0,
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$ NORM // UPLO // DIAG, N, N, -1, -1,
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$ -1, IMAT, NFAIL, NERRS, NOUT )
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*
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CALL CTRT06( RCOND, RCONDC, UPLO, DIAG, N, A, LDA,
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$ RWORK, RESULT( 7 ) )
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*
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* Print the test ratio if it is .GE. THRESH.
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*
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IF( RESULT( 7 ).GE.THRESH ) THEN
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
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$ CALL ALAHD( NOUT, PATH )
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WRITE( NOUT, FMT = 9997 )NORM, UPLO, N, IMAT,
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$ 7, RESULT( 7 )
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NFAIL = NFAIL + 1
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END IF
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NRUN = NRUN + 1
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50 CONTINUE
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60 CONTINUE
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70 CONTINUE
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80 CONTINUE
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*
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* Use pathological test matrices to test CLATRS.
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*
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DO 110 IMAT = NTYPE1 + 1, NTYPES
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*
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* Do the tests only if DOTYPE( IMAT ) is true.
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*
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IF( .NOT.DOTYPE( IMAT ) )
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$ GO TO 110
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*
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DO 100 IUPLO = 1, 2
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*
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* Do first for UPLO = 'U', then for UPLO = 'L'
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*
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UPLO = UPLOS( IUPLO )
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DO 90 ITRAN = 1, NTRAN
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*
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* Do for op(A) = A, A**T, and A**H.
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*
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TRANS = TRANSS( ITRAN )
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*
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* Call CLATTR to generate a triangular test matrix.
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*
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SRNAMT = 'CLATTR'
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CALL CLATTR( IMAT, UPLO, TRANS, DIAG, ISEED, N, A,
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$ LDA, X, WORK, RWORK, INFO )
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*
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*+ TEST 8
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* Solve the system op(A)*x = b.
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*
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SRNAMT = 'CLATRS'
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CALL CCOPY( N, X, 1, B, 1 )
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CALL CLATRS( UPLO, TRANS, DIAG, 'N', N, A, LDA, B,
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$ SCALE, RWORK, INFO )
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*
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* Check error code from CLATRS.
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*
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IF( INFO.NE.0 )
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$ CALL ALAERH( PATH, 'CLATRS', INFO, 0,
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$ UPLO // TRANS // DIAG // 'N', N, N,
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$ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
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*
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CALL CTRT03( UPLO, TRANS, DIAG, N, 1, A, LDA, SCALE,
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$ RWORK, ONE, B, LDA, X, LDA, WORK,
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$ RESULT( 8 ) )
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*
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*+ TEST 9
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* Solve op(A)*X = b again with NORMIN = 'Y'.
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*
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CALL CCOPY( N, X, 1, B( N+1 ), 1 )
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CALL CLATRS( UPLO, TRANS, DIAG, 'Y', N, A, LDA,
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$ B( N+1 ), SCALE, RWORK, INFO )
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*
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* Check error code from CLATRS.
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*
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IF( INFO.NE.0 )
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$ CALL ALAERH( PATH, 'CLATRS', INFO, 0,
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$ UPLO // TRANS // DIAG // 'Y', N, N,
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$ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
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*
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CALL CTRT03( UPLO, TRANS, DIAG, N, 1, A, LDA, SCALE,
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$ RWORK, ONE, B( N+1 ), LDA, X, LDA, WORK,
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$ RESULT( 9 ) )
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*
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* Print information about the tests that did not pass
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* the threshold.
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*
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IF( RESULT( 8 ).GE.THRESH ) THEN
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
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$ CALL ALAHD( NOUT, PATH )
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WRITE( NOUT, FMT = 9996 )'CLATRS', UPLO, TRANS,
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$ DIAG, 'N', N, IMAT, 8, RESULT( 8 )
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NFAIL = NFAIL + 1
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END IF
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IF( RESULT( 9 ).GE.THRESH ) THEN
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
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$ CALL ALAHD( NOUT, PATH )
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WRITE( NOUT, FMT = 9996 )'CLATRS', UPLO, TRANS,
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$ DIAG, 'Y', N, IMAT, 9, RESULT( 9 )
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NFAIL = NFAIL + 1
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END IF
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NRUN = NRUN + 2
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90 CONTINUE
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100 CONTINUE
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110 CONTINUE
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120 CONTINUE
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*
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* Print a summary of the results.
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*
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CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
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*
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9999 FORMAT( ' UPLO=''', A1, ''', DIAG=''', A1, ''', N=', I5, ', NB=',
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$ I4, ', type ', I2, ', test(', I2, ')= ', G12.5 )
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9998 FORMAT( ' UPLO=''', A1, ''', TRANS=''', A1, ''', DIAG=''', A1,
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$ ''', N=', I5, ', NB=', I4, ', type ', I2, ',
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$ test(', I2, ')= ', G12.5 )
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9997 FORMAT( ' NORM=''', A1, ''', UPLO =''', A1, ''', N=', I5, ',',
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$ 11X, ' type ', I2, ', test(', I2, ')=', G12.5 )
|
|
9996 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ''', A1, ''', ''',
|
|
$ A1, ''',', I5, ', ... ), type ', I2, ', test(', I2, ')=',
|
|
$ G12.5 )
|
|
RETURN
|
|
*
|
|
* End of CCHKTR
|
|
*
|
|
END
|